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Andreas93 [3]
3 years ago
10

write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.

Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Step-by-step explanation:

x=y

y=1/z^3

Now,

for equation,

x=y=1/z^3

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Dan spends
monitta

Answer: $129

Step-by-step explanation:

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3 years ago
Which of the following is a key property of the linear parent function? A. It goes through he origin B.it has a slope of 0 C. It
Y_Kistochka [10]
A is correct because the linear function is f(x) = x so it is a straight line through the origin with a slope of 1.

B is incorrect because it has a slope of 1 not 0
 C is incorrect because it a straight diagonal line not a curvy one
D is incorrect because if you visualize the graph it goes through quadrant I and III not II and IV
6 0
3 years ago
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Please help me with this ASAP Don’t ANSWER With links please ****
Lemur [1.5K]

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

10^2=(6)^2+h^2

100=36+h^2

100-36=h^2

64=h^2

Taking square root on both sides, we get

\sqrt{64}=h

8=h

The lateral area of a cone is:

A_L=\pi rl

A_L=\pi (6)(8)

A_L=48\pi

The surface area of a cone is:

A_S=\pi rl+\pi r^2

A_S=\pi (6)(8)+\pi (6)^2

A_S=48\pi +36\pi

A_S=84\pi

Volume of cone is:

V=\dfrac{1}{3}\pi r^2h

V=\dfrac{1}{3}\pi (6)^2(8)

V=\dfrac{288}{3}\pi

V=96\pi

Therefore, the lateral area of a cone is 48\pi sq. units, the surface area of a cone is 84\pi sq. units and the volume of the cone is 96\pi cubic units.

7 0
3 years ago
Evaluate the expression. 24÷(−4)+(−2)⋅(−5)
zhuklara [117]

the answer to this question is 4

8 0
3 years ago
What is the gcf of 9-27x^3?
KiRa [710]

Answer:

The factors of 3 are: 1, 3

The factors of 9 are: 1, 3, 9

The factors of 27 are: 1, 3, 9, 27

Then the greatest common factor is 3.

Step-by-step explanation:

8 0
2 years ago
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